1. What is This Probability Calculation?

This calculator determines the probability of at least one success occurring over multiple independent attempts, given the probability of success in a single attempt.

2. How Does the Calculator Work?

The calculator uses the probability formula:

Where:

• \( p_{\text{single}} \) — Probability of success in a single attempt (0 to 1)
• \( n \) — Number of attempts

Explanation: The formula calculates the complement probability (all attempts failing) and subtracts it from 1 to get the probability of at least one success.

3. Importance of Probability Calculation

Details: This calculation is fundamental in statistics, risk assessment, and decision-making across fields like finance, engineering, and scientific research.

4. Using the Calculator

Tips: Enter probability per attempt (between 0 and 1) and number of attempts (positive integer). The calculator will compute the cumulative probability.

5. Frequently Asked Questions (FAQ)

Q1: Does this assume independent attempts?
A: Yes, this formula assumes each attempt is independent with identical probability of success.

Q2: What if I want exactly one success?
A: For exactly one success, use the binomial formula: \( n \times p \times (1-p)^{n-1} \).

Q3: Can I use percentages instead of decimals?
A: Convert percentages to decimals (e.g., 25% = 0.25) before entering.

Q4: What's the maximum number of attempts I can enter?
A: There's no strict limit, but extremely large numbers may cause computational issues.

Q5: How accurate is this calculation?
A: Mathematically precise for independent trials with constant probability.